Delay-dependent stability criteria for reaction-diffusion neural networks with time-varying delays

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

85 Scopus Citations
View graph of relations

Author(s)

Detail(s)

Original languageEnglish
Article number6449305
Pages (from-to)1913-1920
Journal / PublicationIEEE Transactions on Cybernetics
Volume43
Issue number6
Online published4 Feb 2013
Publication statusPublished - Dec 2013

Abstract

This paper studies the global asymptotic stability problem of a class of reaction-diffusion neural networks with time-varying delays. To overcome the difficulty caused by the partial differential term, a novel Lyapunov-Krasovskii functional is proposed, and a partial differential equation technique together with a linear operator approach are also applied to obtain the delay-dependent stability criteria, which are less conservative than the existing results. Finally, simulation examples are given to verify and illustrate the theoretical analysis. © 2013 IEEE.

Research Area(s)

  • Asymptotic stability, Delay-dependent stability criteria, Lyapunov-Krasovskii functional, Reaction-diffusion neural networks

Citation Format(s)

Delay-dependent stability criteria for reaction-diffusion neural networks with time-varying delays. / Ma, Qian; Feng, Gang; Xu, Shengyuan.
In: IEEE Transactions on Cybernetics, Vol. 43, No. 6, 6449305, 12.2013, p. 1913-1920.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review